Pith Number

pith:4JTMBW3C

pith:2016:4JTMBW3CD5BWRCOI2TP63RM2JN

not attested not anchored not stored refs pending

Log-convexity and the cycle index polynomials with relation to compound Poisson distributions

Muneya Matsui

arxiv:1609.06875 v2 · 2016-09-22 · math.CO · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JTMBW3CD5BWRCOI2TP63RM2JN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:39:18.237512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e266c0db621f436889c8d4dfedc59a4b409d3ca093fcb88af732cf754829cba2

Aliases

arxiv: 1609.06875 · arxiv_version: 1609.06875v2 · doi: 10.48550/arxiv.1609.06875 · pith_short_12: 4JTMBW3CD5BW · pith_short_16: 4JTMBW3CD5BWRCOI · pith_short_8: 4JTMBW3C

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4JTMBW3CD5BWRCOI2TP63RM2JN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e266c0db621f436889c8d4dfedc59a4b409d3ca093fcb88af732cf754829cba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1789001769c95f8355bbec7ab91b1cac72c5876174009fc250345053f0d0229e",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-22T09:02:41Z",
    "title_canon_sha256": "4facda53f5758421f44db8f3849ef6d179aaafc7c5380961c7557c820c1c383b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06875",
    "kind": "arxiv",
    "version": 2
  }
}